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4 years ago

Please need help on this

Mathematics

1 answer:

umka2103 [35]4 years ago

6 0

A "solution" is where the graph crosses the
x-axis so while the quadratic has no real solutions, the straight line passing through it does as it intersects the x-axis at x=-2.
Hope this helps! :)

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At a storage company, items are stored in containers that have a base of 5 1/2 yds by 1 2/3 yds. If there is a 3 x 3 array of th

blondinia [14]

Answer:

68.70 yd.

Step-by-step explanation:

First we would convert these into decimals. 5 1/2 would turn into 5.50, and 1 2/3 is 1.66.

(1.66 yd.) * 5.50 yd. =

7.6338428 yd.

7.6338428 yd.*3*3=

= 68.7045852 yd.

shorten the decimal for a shorter, less accurate answer.

8 0

2 years ago

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

Sergio [31]

Using the binomial distribution, it is found that:

a) There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.

b) There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.

c) 9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

The values of the parameters are given as follows:

n = 18, p = 0.267.

Item a:

The probability is P(X = 6), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{18,6}.(0.267)^{6}.(0.733)^{12} = 0.1618$

There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.

Item b:

The probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{18,0}.(0.267)^{0}.(0.733)^{18} = 0.0037$

$P(X = 1) = C_{18,1}.(0.267)^{1}.(0.733)^{17} = 0.0245$

$P(X = 2) = C_{18,2}.(0.267)^{2}.(0.733)^{16} = 0.0758$

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0037 + 0.0245 + 0.0758 = 0.104.

There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.

item c:

We have to look at the mean and the standard deviation, given, respectively, by:

E(X) = np = 18 x 0.267 = 4.81.

$\sqrt{V(X)} = \sqrt{18(0.267)(0.733)} = 1.88$

9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

2 years ago

If cos 0 = -3/4 and 0 is in quadrant iii then sin 0 is equivalent to

IgorC [24]

Answer: - radical 7 / 4

Step-by-step explanation:

draw a triangle in quadrant III

plug in correct terms

use Pythagorean theorem

to simplify down to find the opposite angle

b= rad 7

4 0

3 years ago

4 miles out of 166 miles.

mylen [45]

Answer:

166 - 4 = 162

Step-by-step explanation:

Your question mad no sense !!

6 0

3 years ago

If average of 3 quantities is 15 , sum of quantities is....?

Verizon [17]

Answer:

Step-by-step explanation:

Let the three quantities be x, y and z.

$\because \: average = \frac{sum \: of \: quantities}{no \: of \: quantities} \\ \\ \therefore \: 15 = \frac{x + y + z}{3} \\ \\ 15 \times 3 = x + y + z \\ \\ \huge \purple{ 45 = x + y + z}$

8 0

3 years ago